Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464s |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-120318912 = -1 · 26 · 33 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69,572] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:28:1] |
Generators of the group modulo torsion |
j |
-21024576/69629 |
j-invariant |
L |
7.8979840429078 |
L(r)(E,1)/r! |
Ω |
1.6340701097436 |
Real period |
R |
1.2083300459228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464b1 116928r1 58464f1 |
Quadratic twists by: -4 8 -3 |